What is (4.7*10^{-9})(0.004) ?

The solution to (4.7*10^{-9})(0.004) is 1.88E-11

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simplify (4.7*10^{-9})(0.004)

simplify

(4.7 \cdot 1 0^{- 9}) (0.004)

1.88 E - 11

Solution steps

(4.7 \cdot 1 0^{- 9}) (0.004)

Apply rule:

(a) = a

(0.004) = 0.004

= 4.7 \cdot 1 0^{- 9} \cdot 0.004

Multiply the numbers:

4.7 \cdot 0.004 = 0.0188

= 0.0188 \cdot 1 0^{- 9}

= 1 0^{- 9} \cdot 0.0188

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

1 0^{- 9} = \frac{1}{1 0 ^{9}}

= \frac{1}{1 0 ^{9}} \cdot 0.0188

1 0^{9} = 1000000000

= \frac{1}{1000000000} \cdot 0.0188

\frac{1}{1000000000} \cdot 0.0188 = \frac{0.0188}{1000000000}

= \frac{0.0188}{1000000000}

Divide the numbers:

\frac{0.0188}{1000000000} = 1.88 E - 11

= 1.88 E - 11

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